Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1991-12-24
Nucl.Phys.B382:276-304,1992
Physics
High Energy Physics
High Energy Physics - Theory
32 pages + 20 figures
Scientific paper
10.1016/0550-3213(92)90188-H
We define a physical Hilbert space for the three-dimensional lattice gravity of Ponzano and Regge and establish its isomorphism to the ones in the $ISO(3)$ Chern-Simons theory. It is shown that, for a handlebody of any genus, a Hartle-Hawking-type wave-function of the lattice gravity transforms into the corresponding state in the Chern-Simons theory under this isomorphism. Using the Heegaard splitting of a three-dimensional manifold, a partition function of each of these theories is expressed as an inner product of such wave-functions. Since the isomorphism preserves the inner products, the partition function of the two theories are the same for any closed orientable manifold. We also discuss on a class of topology-changing amplitudes in the lattice gravity and their relation to the ones in the Chern-Simons theory.
No associations
LandOfFree
Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-632826